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Related papers: A model structure a la Thomason on 2-Cat

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Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

Disordered Systems and Neural Networks · Physics 2015-01-22 K. Ziegler

Given a 2-category $\twocat{K}$ admitting a calculus of bimodules, and a 2-monad T on it compatible with such calculus, we construct a 2-category $\twocat{L}$ with a 2-monad S on it such that: (1)S has the adjoint-pseudo-algebra property.…

Category Theory · Mathematics 2007-05-23 Claudio Hermida

We study a model (i.e., the $t_2-V$ model involving {\em next-nearest-neighbor hopping} and nearest-neighbor repulsion) in one-dimension that generically depicts the dominant transport mechanism in cooperative strong electron-phonon…

Strongly Correlated Electrons · Physics 2015-06-15 A. Ghosh , S. Yarlagadda

We find a representation of the row-to-row transfer matrix of the Baxter-Bazhanov-Stroganov $\tau_2$-model for N=2 in terms of an integral over two commuting sets of grassmann variables. Using this representation, we explicitly calculate…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 O. Lisovyy

We give a description of the bimodule of double derivations DDer(S) of a finite dimensional semi-simple algebra S and its double Schouten bracket in terms of a quiver. This description is used to determine which degree two monomials in…

Algebraic Geometry · Mathematics 2007-05-23 Geert Van de Weyer

A generalized two-component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable peakon equations as special reductions. The generalized…

Exactly Solvable and Integrable Systems · Physics 2015-09-14 Baoqiang Xia , Zhijun Qiao , Ruguang Zhou

Superparticle models with $OSp(N|2)$ supersymmetry group are studied. We first consider the $N=4$ case and construct the models with $\kappa$-symmetry on the coset spaces of the $OSp(4|2)$ supergroup. In addition, within the canonical…

High Energy Physics - Theory · Physics 2019-03-27 Dmitry Chernyavsky

We show that the generating series of Euler characteristics of Hilbert schemes of points on any algebraic surface with at worst $A_n$-type singularities is described by the theta series determined by integer valued positive definite…

Algebraic Geometry · Mathematics 2013-12-23 Yukinobu Toda

We have fabricated a sub-micron-sized structure consisting of an InAs-based 2DEG, two narrow Nb leads and a gate, where the indirect ballistic transport between the non-oppositely superconducting contacts can be controlled by the voltage…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Bastian , H. Takayanagi

Using a unified and systematic scheme, the free field realization of irreducible representations of osp(2|2) is constructed. By using these realization, the correlation functions of N=2 super-conformal model based on osp(2|2) symmetry and…

High Energy Physics - Theory · Physics 2009-02-23 A. Shafiekhani , W. -S. Chung

The one- and two-photon scattering matrix S is obtained analytically for a one-dimensional waveguide and a point-like scatterer with N excited levels (generalized V -type atom). We argue that the two-photon scattering matrix contains…

We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with…

Mathematical Physics · Physics 2009-06-03 C. Bartocci , G. Falqui , I. Mencattini , G. Ortenzi , M. Pedroni

The present article is devoted to the study of transfers for $A_\infty$ structures, their maps and homotopies, as developed in \cite{Markl06}. In particular, we supply the proofs of claims formulated therein and provide their extension by…

Algebraic Topology · Mathematics 2019-09-26 Jakub Kopřiva

By introducing Q^2-dependence in resonance-reggeon "soft" dual models with nonlinear trajectories, they are extended to "hard" processes, sharing the property of parton-hadron duality. The resulting object is a two-component complex…

Nuclear Theory · Physics 2007-05-23 L. Jenkovszky , V. K. Magas , E. Predazzi

We consider conformal defects joining two conformal field theories along a line. We define two new quantities associated to such defects in terms of expectation values of the stress tensors and we propose them as measures of the…

High Energy Physics - Theory · Physics 2010-10-27 Thomas Quella , Ingo Runkel , Gerard M. T. Watts

We present a unified description of the excitonic properties of four monolayer transition-metal dichalcogenides (TMDC's) using an equation of motion method for deriving the Bethe-Salpeter equation in momentum space. Our method is able to…

Mesoscale and Nanoscale Physics · Physics 2017-08-08 A. J. Chaves , R. M. Ribeiro , T. Frederico , N. M. R. Peres

We argue that energetic muon-electron scattering in the backward direction can be viewed as a template case to study the resummation of large logarithms related to endpoint divergences appearing in the effective-theory formulation of…

High Energy Physics - Phenomenology · Physics 2022-09-26 Guido Bell , Philipp Böer , Thorsten Feldmann

In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Volterra kinetics. The linear stability analysis shows that…

Pattern Formation and Solitons · Physics 2014-03-03 G. Gambino , M. C. Lombardo , M. Sammartino

We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, emphasizing the parallels between the homotopical and 2-categorical points of view. Every 2-category with finite limits and colimits has a…

Category Theory · Mathematics 2010-09-10 Stephen Lack

We construct a model structure on the category $\mathrm{DblCat}$ of double categories and double functors. Unlike previous model structures for double categories, it recovers the homotopy theory of 2-categories through the horizontal…

Algebraic Topology · Mathematics 2021-05-04 Lyne Moser , Maru Sarazola , Paula Verdugo